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Question

\%. \( 3 x(x-2)-(x-1)^{2} \)

Ask by Coleman Bryant. in Greece
Jan 21,2025

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Answer

La expresión simplificada es \(2x^{2}-4x-1\).

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Beyond the Answer

To fully understand this expression, let's break it down a bit! The expression \( 3x(x-2) - (x-1)^2 \) represents a polynomial equation. The first part, \( 3x(x-2) \), expands to \( 3x^2 - 6x \), while the second part, \( (x-1)^2 \), expands to \( x^2 - 2x + 1 \). Combining these will yield a new polynomial, and solving or factoring it can give you vital insights into its roots or behavior. Now, let’s have some fun with this math! When you're working with polynomials, don't forget the beauty of factoring. Many people get stuck when looking for roots; a common mistake is overlooking simple factorizations or trying too hard to apply the quadratic formula prematurely. Always aim to factor first if possible – it can save time and reveal useful properties of the function!

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